a)
To calculate: The probability that there is exactly one person among 12 who has Type B blood.
The probability that there is exactly one person among 12 who has Type B blood is 0.3663.
Given:
The percentage of people with type B blood
The total number of donors
Concept used:
A probability distribution where each trial has two possible outcomes known as a success and failure, each trial is independent and the probability of each trial is the same, then to calculate the probability of a certain number of successes occurring, a binomial probability distribution is used as shown below
where k is the number of successes, n is the number of trials and p is the probability of success.
Calculation:
Consider, X be the random variable that shows the number of people that has Type B blood is following the binomial distribution.
The probability that there is exactly one person among 12 who has Type B blood is calculated as shown below
Conclusion:
The required probability is 0.3663 (rounded to 4 decimal places).
b)
To calculate: The probability that there are at least two donors among 12 who have Type B blood.
The probability that there are at least two donors among 12 who have Type B blood is 0.3867.
Calculation:
The probability that there are at least two donors among 12 who have Type B blood is calculated using the logic that sum of all probabilities in a probability distribution is 1, as shown below:
Conclusion:
The probability that there are at least two donors among 12 who have Type B blood is about 0.3867 (rounded to 4 decimal places).
Chapter 10 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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